Corpus ID: 235795401

Spectral dimensions of Krein-Feller operators and $L^{q}$-spectra

@inproceedings{Kessebohmer2021SpectralDO,
  title={Spectral dimensions of Krein-Feller operators and \$L^\{q\}\$-spectra},
  author={Marc Kessebohmer and Aljoscha Niemann},
  year={2021}
}
We study the spectral dimensions and spectral asymptotics of Kreı̆n-Feller operators for arbitrary finite Borel measures on (0,1) . Connections between the spectral dimension, the Lq-spectrum, the partition entropy and the optimised coarse multifractal dimension are established. In particular, we show that the upper spectral dimension always corresponds to the fixed point of the Lq-spectrum of the corresponding measure. Natural bounds reveal intrinsic connections to the Minkowski dimension of… Expand
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